Atkin-Lehner |
2+ 3- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470i |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-478727884800 = -1 · 212 · 36 · 52 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -7 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6369,-196867] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3399:1] |
Generators of the group modulo torsion |
j |
-39196589992209/656691200 |
j-invariant |
L |
3.3734908327212 |
L(r)(E,1)/r! |
Ω |
0.26694177462519 |
Real period |
R |
1.5796941287441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5830f1 |
Quadratic twists by: -3 |